Welcome Guest
Log In | Register )
You last visited December 6, 2016, 11:05 am
All times shown are
Eastern Time (GMT-5:00)

Vampire Numbers!!

Topic closed. 5 replies. Last post 10 years ago by Maverick2842.

Page 1 of 1
PrintE-mailLink

Brazil
Member #49335
January 27, 2007
6 Posts
Offline
Posted: February 28, 2007, 12:11 pm - IP Logged

Dear pick(3-4) hunters!!!

 

I found this article and I think it's very interesting!!!

I know you are asking, "what the heck is a vampire number!?" I don't blame you, that's exactly what I thought when I bumped into them. Well, here's the story.... It all began when I happened to read the "Brain Bogglers" page in the June '95 issue of Discover magazine. I noticed that the author was Clifford Pickover, whom I knew from some of the fractal programs that I have of his, and from some of the wonderful books he has written. I usually don't bother with the Brain Boggler page, because I never have the patience to try and figure them out. But this one was different. Rather than try and explain it, here it is...

Brain Bogglers Interview With A Number by Clifford Pickover

If we are to believe best-selling novelist Anne Rice, vampires resemble humans in many respects but live secret lives hidden among mortals. There are also vampires in the world of mathematics, numbers that look like normal figures but bear a disguised difference. They are actually the products of two progenitor numbers that when multiplied survive, scrambled together, in the vampire number. Consider one such case: 27 x 81 = 2,187.

Another vampire number is 1,435, which is the product of 35 and 41. I define true vampires, such as the two previous examples, as meeting three rules. They have an even number of digits. Each one of the progenitor numbers has half the number of digits of the vampire. And finally, a true vampire number is not created simply by adding zeros to the ends of numbers, as in:
270,000 x 810,000 = 218,700,000,000.

True vampires would never be so obvious. Vampire numbers secretly inhabit our number system, but most have been undetected so far. When I grabbed my silver mirror and wooden stake and began my search for them, I found, in addition to the two listed above, five other four-digit vampire numbers. Can you find the others? Can you find any vampire numbers with more digits in them?

 

 

All of the 4 digit TRUE vampires.


A number v = xy with an even number (n) of digits formed by multiplying a pair of n/2-digit numbers (where the digits are taken from the original number in any order) x and y together is known as vampire number. Pairs of trailing zeros (Both the numbers have a trailing zero) are not allowed. If v is a vampire number then x and y are called its "fangs." Examples of 4-digit vampire numbers include

1. 21 x 60 = 1260
2. 15 x 93 = 1395
3. 35 x 41 = 1435
4. 30 x 51 = 1530
5. 21 x 87 = 1827
6. 27 x 81 = 2187
7. 80 x 86 = 6880

 

Vampire number counts
DigitsVampire
ratio

Vampires with at least f different fang pairs

Vampire
equations
Prime
vampires
f=1(all vampires)f=2f=3f=4f=5
41/12867000070
61/6081 1481000 1495
81/27881 322814100 324357
101/82984108454172000 108626970
121/204980439067029981300439368126653
141/4318132084236827263014031208496456923920

Vampire ratio is (n-digit vampire numbers)/(n-digit integers) and not a ratio of performed tests.
Vampire equations are all equations of the form vampire = fang1 · fang2, i.e. each vampire number counts for each different fang pair. Prime vampires obviously only have one fang pair.
The vampire equations for all table counts below 15 are on this page.

 

First 15 vampires with exactly 2 fang pairs
125460 = 204 · 615 = 246 · 510  11930170 = 1301 · 9170 = 1310 · 9107
12054060 = 2004 · 6015 = 2406 · 5010  12417993 = 1317 · 9429 = 1347 · 9219
12600324 = 2031 · 6204 = 3102 · 4062  12827650 = 1826 · 7025 = 2075 · 6182
13002462 = 2031 · 6402 = 3201 · 4062  22569480 = 2649 · 8520 = 4260 · 5298
23287176 = 2673 · 8712 = 3267 · 7128  26198073 = 2673 · 9801 = 3267 · 8019
26373600 = 3600 · 7326 = 3663 · 7200  26839800 = 2886 · 9300 = 3900 · 6882
46847920 = 4760 · 9842 = 6290 · 7448  61360780 = 7130 · 8606 = 7613 · 8060
1001795850 = 10170 · 98505 = 19701 · 50850

 


"Then give to the world the best you have, And the best will come back to you."

Madeline Bridges

 

 

  

 

 


    United States
    Member #17555
    June 22, 2005
    5582 Posts
    Offline
    Posted: February 28, 2007, 12:23 pm - IP Logged

    The first part was interesting, but I couldn't understand the Fang part.

    I tell you..It was a pain in the neck trying to figuring it out...  Jester


      United States
      Member #17555
      June 22, 2005
      5582 Posts
      Offline
      Posted: February 28, 2007, 8:04 pm - IP Logged

      The first part was interesting, but I couldn't understand the Fang part.

      I tell you..It was a pain in the neck trying to figuring it out...  Jester

      I'm still trying....but it's hard for me to sink my teeth into it....Too tired!

      I have no stake in this....Okay??...LOL

        Badger's avatar - adu50016 NorthAmericanBadger.jpg
        Wisconsin
        United States
        Member #1303
        March 27, 2003
        1508 Posts
        Offline
        Posted: February 28, 2007, 9:32 pm - IP Logged

        I tell you..It was a pain in the neck trying to figuring it out...  Jester

        OW !  Now I'm afraid you must be destroyed.  Please follow the yellow lines on the floor which will take you to our disintegration chamber.......Evil Smile

        ============

        How can you tell if a politician is lying?

        Answer: His lips are moving.


          United States
          Member #17555
          June 22, 2005
          5582 Posts
          Offline
          Posted: February 28, 2007, 9:42 pm - IP Logged

          I tell you..It was a pain in the neck trying to figuring it out...  Jester

          OW !  Now I'm afraid you must be destroyed.  Please follow the yellow lines on the floor which will take you to our disintegration chamber.......Evil Smile

          This is starting to look like a Batman episode....

          BLAM!........FOOM!........YIKES!

          SLAM!...WHAP!

          Robin: In the name of jehovian jumping jacks batman....!

            Avatar
            Griffith, In
            United States
            Member #41637
            June 20, 2006
            266 Posts
            Offline
            Posted: February 28, 2007, 9:54 pm - IP Logged

            Dear pick(3-4) hunters!!!

             

            I found this article and I think it's very interesting!!!

            I know you are asking, "what the heck is a vampire number!?" I don't blame you, that's exactly what I thought when I bumped into them. Well, here's the story.... It all began when I happened to read the "Brain Bogglers" page in the June '95 issue of Discover magazine. I noticed that the author was Clifford Pickover, whom I knew from some of the fractal programs that I have of his, and from some of the wonderful books he has written. I usually don't bother with the Brain Boggler page, because I never have the patience to try and figure them out. But this one was different. Rather than try and explain it, here it is...

            Brain Bogglers Interview With A Number by Clifford Pickover

            If we are to believe best-selling novelist Anne Rice, vampires resemble humans in many respects but live secret lives hidden among mortals. There are also vampires in the world of mathematics, numbers that look like normal figures but bear a disguised difference. They are actually the products of two progenitor numbers that when multiplied survive, scrambled together, in the vampire number. Consider one such case: 27 x 81 = 2,187.

            Another vampire number is 1,435, which is the product of 35 and 41. I define true vampires, such as the two previous examples, as meeting three rules. They have an even number of digits. Each one of the progenitor numbers has half the number of digits of the vampire. And finally, a true vampire number is not created simply by adding zeros to the ends of numbers, as in:
            270,000 x 810,000 = 218,700,000,000.

            True vampires would never be so obvious. Vampire numbers secretly inhabit our number system, but most have been undetected so far. When I grabbed my silver mirror and wooden stake and began my search for them, I found, in addition to the two listed above, five other four-digit vampire numbers. Can you find the others? Can you find any vampire numbers with more digits in them?

             

             

            All of the 4 digit TRUE vampires.


            A number v = xy with an even number (n) of digits formed by multiplying a pair of n/2-digit numbers (where the digits are taken from the original number in any order) x and y together is known as vampire number. Pairs of trailing zeros (Both the numbers have a trailing zero) are not allowed. If v is a vampire number then x and y are called its "fangs." Examples of 4-digit vampire numbers include

            1. 21 x 60 = 1260
            2. 15 x 93 = 1395
            3. 35 x 41 = 1435
            4. 30 x 51 = 1530
            5. 21 x 87 = 1827
            6. 27 x 81 = 2187
            7. 80 x 86 = 6880

             

            Vampire number counts
            DigitsVampire
            ratio

            Vampires with at least f different fang pairs

            Vampire
            equations
            Prime
            vampires
            f=1(all vampires)f=2f=3f=4f=5
            41/12867000070
            61/6081 1481000 1495
            81/27881 322814100 324357
            101/82984108454172000 108626970
            121/204980439067029981300439368126653
            141/4318132084236827263014031208496456923920

            Vampire ratio is (n-digit vampire numbers)/(n-digit integers) and not a ratio of performed tests.
            Vampire equations are all equations of the form vampire = fang1 · fang2, i.e. each vampire number counts for each different fang pair. Prime vampires obviously only have one fang pair.
            The vampire equations for all table counts below 15 are on this page.

             

            First 15 vampires with exactly 2 fang pairs
            125460 = 204 · 615 = 246 · 510  11930170 = 1301 · 9170 = 1310 · 9107
            12054060 = 2004 · 6015 = 2406 · 5010  12417993 = 1317 · 9429 = 1347 · 9219
            12600324 = 2031 · 6204 = 3102 · 4062  12827650 = 1826 · 7025 = 2075 · 6182
            13002462 = 2031 · 6402 = 3201 · 4062  22569480 = 2649 · 8520 = 4260 · 5298
            23287176 = 2673 · 8712 = 3267 · 7128  26198073 = 2673 · 9801 = 3267 · 8019
            26373600 = 3600 · 7326 = 3663 · 7200  26839800 = 2886 · 9300 = 3900 · 6882
            46847920 = 4760 · 9842 = 6290 · 7448  61360780 = 7130 · 8606 = 7613 · 8060
            1001795850 = 10170 · 98505 = 19701 · 50850

             


            "Then give to the world the best you have, And the best will come back to you."

            Madeline Bridges

             

             

              

             

             

            Damn Catch33;

            Now I have been away for awhile here and just popped back in to see what is all the commotion is going on here........ I see that you have been staying up a little to late in the lab of yours, and then there was a explosion here..... but the info that you had written out was written in one of those major scientific writings!

            Nevertheless...... when you break it down........ we all will still be here for the layman's booklet.

            Have a great day my friend!

            Maverick2842........ out.

            Thank you and have a prosperous day!

            Maverick2842.......out!Party